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Links for Honors Geometry

Triangle Centers Investigation

  1. Explore the four triangle centers about which you just learned. Which always remain inside the triangle and which can come outside? Investigate this and write responses to the included questions in your notes.
  2. What can we know about the lengths of segments formed when you draw all three medians in a triangle? Investigate this and answer the included questions in your notes.
  3. When you draw all three medians in a triangle cutting it into smaller triangles, how do the areas of the smaller triangles compare? Check it out here and write answers to the included questions in your notes.